Equivalences in Bicategories | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 4، دوره 8، شماره 1، فروردین 2018، صفحه 19-33 اصل مقاله (538.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.29252/cgasa.8.1.19 | ||
| نویسنده | ||
| Omar Abbad | ||
| Department of Mathematics, Universit\'e Choua\"ib Doukkali, El Jadida, Morocco. | ||
| چکیده | ||
| In this paper, we establish some connections between the concept of an equivalence of categories and that of an equivalence in a bicategory. Its main result builds upon the observation that two closely related concepts, which could both play the role of an equivalence in a bicategory, turn out not to coincide. Two counterexamples are provided for that goal, and detailed proofs are given. In particular, all calculations done in a bicategory are fully explicit, in order to overcome the difficulties which arise when working with bicategories instead of 2-categories. | ||
| کلیدواژهها | ||
| Equivalences؛ bicategories؛ 1-cells equivalence | ||
| مراجع | ||
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